Home / 1,584.48-2,376.24-609.90

Finding the Fourth Proportional to 1,584.48, 2,376.24 and 609.90

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Solution

The fourth proportional to 1,584.48, 2,376.24 and 609.90 is: 914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.48 : 2,376.24 = 609.90 : x
  2. Step 2: Convert to fraction form
    1,584.48/2,376.24 = 609.90/x
  3. Step 3: Cross multiply
    1,584.48x = 2,376.24 × 609.90
  4. Step 4: Simplify right side
    1,584.48x = 1,449,268.78
  5. Step 5: Solve for x
    x = 1,449,268.78/1,584.48
  6. Step 6: Final answer
    x = 914.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.